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Finding the Third Proportional to 141,226,312 and 304,746,848

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Solution

The third proportional to 141,226,312 and 304,746,848 is: 657,601,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,226,312 : 304,746,848 = 304,746,848 : x
  2. Step 2: Convert to fraction form
    141,226,312/304,746,848 = 304,746,848/x
  3. Step 3: Cross multiply
    141,226,312x = 304,746,848 × 304,746,848
  4. Step 4: Simplify right side
    141,226,312x = 92,870,641,365,935,104
  5. Step 5: Solve for x
    x = 92,870,641,365,935,104/141,226,312
  6. Step 6: Final answer
    x = 657,601,547.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.